VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS

LI Wen-Zhu; ZHANG Jian-Bo

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2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(5) : 608-615

VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS

LI Wen-Zhu ^, ,
ZHANG Jian-Bo

Zhejiang University,Hangzhou

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Abstract：
By using the cumulant expansion variational method,we study the SU(2) lattice action including six-link loops which satify the request of Symanzik.The average values of the plaquette and six-link loop up to second order approximation are calculated.Our results are consistant with Monte Carlo data.

References

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Creutz, L.Jacobs and C. Rebbi, Phys. Rev. Lett., 42(1979), 1915; Phys. ReP., 95(1983), 201.[2] examples:P. Hasenfratz,- CERN-TH-3737(1983); J. B. Kogut, Rev. Mad. Phys., 55(1983), 775; G.Schierholz, CERN-TH-4139(1985).[3] J.Greensite and B. Lautrup, Phys.lett., 104B(1981), 41. N.D. Haridas and D. G. Lauwers,Nucl. Phys., B210(1982), 388[4] X-T. Zheng, T-L. Chen and C-I. Tan, Phys. Rev., D26(1982), 2843; C-I Tan and X-T. Zheng, Phys. Rev.,D28(1983), 3141.[5] J. M. Drouffe and J. B. Zuber, Phys. Rep., 102(1983),J. M. Alberty, H. Flyvbjerg and H. Lautrup,Nucl, Phys., 8220(1983), 61.Y. Sugiyama and T. Yokota, Phys. Lctt., 1688(I986), 386[6] I. C. Hsien, X-H. He and Y-S.Song, Phys. Lcts., 153B(1985),417. X-T. Zheng. T-L. Chen and I.C. Hsien., Phys. Lert., 154B(1985), 166

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LI Wen-Zhu and ZHANG Jian-Bo. VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS[J]. Chinese Physics C, 1988, 12(5): 608-615.

LI Wen-Zhu and ZHANG Jian-Bo. VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS[J]. Chinese Physics C, 1988, 12(5): 608-615. shu

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Received: 1900-01-01
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS

LI Wen-Zhu ^,
ZHANG Jian-Bo

Corresponding author: LI Wen-Zhu,

Zhejiang University,Hangzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-10-05

Abstract: By using the cumulant expansion variational method,we study the SU(2) lattice action including six-link loops which satify the request of Symanzik.The average values of the plaquette and six-link loop up to second order approximation are calculated.Our results are consistant with Monte Carlo data.